TSTP Solution File: PUZ141^1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PUZ141^1 : TPTP v8.1.2. Released v6.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 08:50:52 EDT 2024
% Result : Theorem 0.18s 0.42s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 37
% Syntax : Number of formulae : 94 ( 34 unt; 26 typ; 0 def)
% Number of atoms : 505 ( 115 equ; 0 cnn)
% Maximal formula atoms : 3 ( 7 avg)
% Number of connectives : 81 ( 29 ~; 38 |; 0 &; 0 @)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 24 ( 23 >; 1 *; 0 +; 0 <<)
% Number of symbols : 24 ( 21 usr; 10 con; 0-6 aty)
% Number of variables : 83 ( 0 ^ 74 !; 3 ?; 83 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
direction: $tType ).
thf(type_def_6,type,
position: $tType ).
thf(type_def_7,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_8,type,
movelist: $tType ).
thf(func_def_0,type,
position: $tType ).
thf(func_def_1,type,
direction: $tType ).
thf(func_def_2,type,
left: direction ).
thf(func_def_3,type,
right: direction ).
thf(func_def_4,type,
top: direction ).
thf(func_def_5,type,
bottom: direction ).
thf(func_def_6,type,
next: position > direction > position ).
thf(func_def_8,type,
wall: position > $o ).
thf(func_def_9,type,
movelist: $tType ).
thf(func_def_10,type,
nomove: movelist ).
thf(func_def_11,type,
movedir: movelist > direction > movelist ).
thf(func_def_12,type,
playerpos: movelist > position ).
thf(func_def_13,type,
c00: position ).
thf(func_def_14,type,
c10: position ).
thf(func_def_15,type,
c20: position ).
thf(func_def_18,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_19,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_20,type,
vAND: $o > $o > $o ).
thf(func_def_21,type,
vOR: $o > $o > $o ).
thf(func_def_22,type,
vIMP: $o > $o > $o ).
thf(func_def_23,type,
vNOT: $o > $o ).
thf(func_def_24,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f871,plain,
$false,
inference(trivial_inequality_removal,[],[f870]) ).
thf(f870,plain,
c00 != c00,
inference(superposition,[],[f74,f800]) ).
thf(f800,plain,
c00 = c20,
inference(backward_demodulation,[],[f716,f743]) ).
thf(f743,plain,
c10 = c00,
inference(forward_demodulation,[],[f721,f117]) ).
thf(f117,plain,
c00 = vAPP(direction,position,vAPP(position,sTfun(direction,position),next,c10),left),
inference(superposition,[],[f102,f35]) ).
thf(f35,plain,
c10 = vAPP(direction,position,vAPP(position,sTfun(direction,position),next,c00),right),
inference(cnf_transformation,[],[f6]) ).
thf(f6,axiom,
c10 = vAPP(direction,position,vAPP(position,sTfun(direction,position),next,c00),right),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c10_defin) ).
thf(f102,plain,
! [X0: position] : ( vAPP(direction,position,vAPP(position,sTfun(direction,position),next,vAPP(direction,position,vAPP(position,sTfun(direction,position),next,X0),right)),left) = X0 ),
inference(superposition,[],[f41,f40]) ).
thf(f40,plain,
! [X0: position] : ( vAPP(direction,position,vAPP(position,sTfun(direction,position),next,vAPP(direction,position,vAPP(position,sTfun(direction,position),next,X0),left)),right) = X0 ),
inference(cnf_transformation,[],[f25]) ).
thf(f25,plain,
! [X0: position] : ( vAPP(direction,position,vAPP(position,sTfun(direction,position),next,vAPP(direction,position,vAPP(position,sTfun(direction,position),next,X0),left)),right) = X0 ),
inference(rectify,[],[f2]) ).
thf(f2,axiom,
! [X2: position] : ( vAPP(direction,position,vAPP(position,sTfun(direction,position),next,vAPP(direction,position,vAPP(position,sTfun(direction,position),next,X2),left)),right) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_right) ).
thf(f41,plain,
! [X2: position,X0: direction,X1: direction] : ( vAPP(direction,position,vAPP(position,sTfun(direction,position),next,vAPP(direction,position,vAPP(position,sTfun(direction,position),next,X2),X0)),X1) = vAPP(direction,position,vAPP(position,sTfun(direction,position),next,vAPP(direction,position,vAPP(position,sTfun(direction,position),next,X2),X1)),X0) ),
inference(cnf_transformation,[],[f1]) ).
thf(f1,axiom,
! [X0: direction,X1: direction,X2: position] : ( vAPP(direction,position,vAPP(position,sTfun(direction,position),next,vAPP(direction,position,vAPP(position,sTfun(direction,position),next,X2),X0)),X1) = vAPP(direction,position,vAPP(position,sTfun(direction,position),next,vAPP(direction,position,vAPP(position,sTfun(direction,position),next,X2),X1)),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',next_comm) ).
thf(f721,plain,
c10 = vAPP(direction,position,vAPP(position,sTfun(direction,position),next,c10),left),
inference(backward_demodulation,[],[f116,f716]) ).
thf(f116,plain,
c10 = vAPP(direction,position,vAPP(position,sTfun(direction,position),next,c20),left),
inference(superposition,[],[f102,f34]) ).
thf(f34,plain,
c20 = vAPP(direction,position,vAPP(position,sTfun(direction,position),next,c10),right),
inference(cnf_transformation,[],[f7]) ).
thf(f7,axiom,
c20 = vAPP(direction,position,vAPP(position,sTfun(direction,position),next,c10),right),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c20_defin) ).
thf(f716,plain,
c10 = c20,
inference(trivial_inequality_removal,[],[f715]) ).
thf(f715,plain,
( ( $true = $false )
| ( c10 = c20 ) ),
inference(forward_demodulation,[],[f714,f36]) ).
thf(f36,plain,
vAPP(position,$o,wall,c20) = $false,
inference(cnf_transformation,[],[f16]) ).
thf(f16,plain,
vAPP(position,$o,wall,c20) = $false,
inference(fool_elimination,[],[f10]) ).
thf(f10,axiom,
vAPP(position,$o,wall,c20) = $false,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c20_axiom) ).
thf(f714,plain,
( ( vAPP(position,$o,wall,c20) = $true )
| ( c10 = c20 ) ),
inference(forward_demodulation,[],[f713,f34]) ).
thf(f713,plain,
( ( c10 = c20 )
| ( $true = vAPP(position,$o,wall,vAPP(direction,position,vAPP(position,sTfun(direction,position),next,c10),right)) ) ),
inference(forward_demodulation,[],[f701,f34]) ).
thf(f701,plain,
( ( c10 = vAPP(direction,position,vAPP(position,sTfun(direction,position),next,c10),right) )
| ( $true = vAPP(position,$o,wall,vAPP(direction,position,vAPP(position,sTfun(direction,position),next,c10),right)) ) ),
inference(superposition,[],[f438,f485]) ).
thf(f485,plain,
c10 = vAPP(movelist,position,playerpos,vAPP(direction,movelist,vAPP(movelist,sTfun(direction,movelist),movedir,vAPP(direction,movelist,vAPP(movelist,sTfun(direction,movelist),movedir,vAPP(direction,movelist,vAPP(movelist,sTfun(direction,movelist),movedir,nomove),right)),right)),right)),
inference(trivial_inequality_removal,[],[f484]) ).
thf(f484,plain,
( ( c20 != c20 )
| ( c10 = vAPP(movelist,position,playerpos,vAPP(direction,movelist,vAPP(movelist,sTfun(direction,movelist),movedir,vAPP(direction,movelist,vAPP(movelist,sTfun(direction,movelist),movedir,vAPP(direction,movelist,vAPP(movelist,sTfun(direction,movelist),movedir,nomove),right)),right)),right)) ) ),
inference(superposition,[],[f437,f34]) ).
thf(f437,plain,
! [X0: direction] :
( ( c20 != vAPP(direction,position,vAPP(position,sTfun(direction,position),next,c10),X0) )
| ( c10 = vAPP(movelist,position,playerpos,vAPP(direction,movelist,vAPP(movelist,sTfun(direction,movelist),movedir,vAPP(direction,movelist,vAPP(movelist,sTfun(direction,movelist),movedir,vAPP(direction,movelist,vAPP(movelist,sTfun(direction,movelist),movedir,nomove),right)),right)),X0)) ) ),
inference(superposition,[],[f267,f433]) ).
thf(f433,plain,
c10 = vAPP(movelist,position,playerpos,vAPP(direction,movelist,vAPP(movelist,sTfun(direction,movelist),movedir,vAPP(direction,movelist,vAPP(movelist,sTfun(direction,movelist),movedir,nomove),right)),right)),
inference(trivial_inequality_removal,[],[f432]) ).
thf(f432,plain,
( ( c20 != c20 )
| ( c10 = vAPP(movelist,position,playerpos,vAPP(direction,movelist,vAPP(movelist,sTfun(direction,movelist),movedir,vAPP(direction,movelist,vAPP(movelist,sTfun(direction,movelist),movedir,nomove),right)),right)) ) ),
inference(superposition,[],[f288,f34]) ).
thf(f288,plain,
! [X0: direction] :
( ( c20 != vAPP(direction,position,vAPP(position,sTfun(direction,position),next,c10),X0) )
| ( c10 = vAPP(movelist,position,playerpos,vAPP(direction,movelist,vAPP(movelist,sTfun(direction,movelist),movedir,vAPP(direction,movelist,vAPP(movelist,sTfun(direction,movelist),movedir,nomove),right)),X0)) ) ),
inference(trivial_inequality_removal,[],[f287]) ).
thf(f287,plain,
! [X0: direction] :
( ( $true = $false )
| ( c20 != vAPP(direction,position,vAPP(position,sTfun(direction,position),next,c10),X0) )
| ( c10 = vAPP(movelist,position,playerpos,vAPP(direction,movelist,vAPP(movelist,sTfun(direction,movelist),movedir,vAPP(direction,movelist,vAPP(movelist,sTfun(direction,movelist),movedir,nomove),right)),X0)) ) ),
inference(forward_demodulation,[],[f280,f38]) ).
thf(f38,plain,
vAPP(position,$o,wall,c10) = $false,
inference(cnf_transformation,[],[f18]) ).
thf(f18,plain,
vAPP(position,$o,wall,c10) = $false,
inference(fool_elimination,[],[f9]) ).
thf(f9,axiom,
vAPP(position,$o,wall,c10) = $false,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c10_axiom) ).
thf(f280,plain,
! [X0: direction] :
( ( c20 != vAPP(direction,position,vAPP(position,sTfun(direction,position),next,c10),X0) )
| ( c10 = vAPP(movelist,position,playerpos,vAPP(direction,movelist,vAPP(movelist,sTfun(direction,movelist),movedir,vAPP(direction,movelist,vAPP(movelist,sTfun(direction,movelist),movedir,nomove),right)),X0)) )
| ( vAPP(position,$o,wall,c10) = $true ) ),
inference(superposition,[],[f272,f35]) ).
thf(f272,plain,
! [X0: direction,X1: direction] :
( ( c20 != vAPP(direction,position,vAPP(position,sTfun(direction,position),next,vAPP(direction,position,vAPP(position,sTfun(direction,position),next,c00),X0)),X1) )
| ( vAPP(direction,position,vAPP(position,sTfun(direction,position),next,c00),X0) = vAPP(movelist,position,playerpos,vAPP(direction,movelist,vAPP(movelist,sTfun(direction,movelist),movedir,vAPP(direction,movelist,vAPP(movelist,sTfun(direction,movelist),movedir,nomove),X0)),X1)) )
| ( $true = vAPP(position,$o,wall,vAPP(direction,position,vAPP(position,sTfun(direction,position),next,c00),X0)) ) ),
inference(superposition,[],[f267,f125]) ).
thf(f125,plain,
! [X0: direction] :
( ( vAPP(direction,position,vAPP(position,sTfun(direction,position),next,c00),X0) = vAPP(movelist,position,playerpos,vAPP(direction,movelist,vAPP(movelist,sTfun(direction,movelist),movedir,nomove),X0)) )
| ( $true = vAPP(position,$o,wall,vAPP(direction,position,vAPP(position,sTfun(direction,position),next,c00),X0)) ) ),
inference(superposition,[],[f44,f33]) ).
thf(f33,plain,
c00 = vAPP(movelist,position,playerpos,nomove),
inference(cnf_transformation,[],[f11]) ).
thf(f11,axiom,
c00 = vAPP(movelist,position,playerpos,nomove),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',start_axiom) ).
thf(f44,plain,
! [X2: direction,X1: movelist] :
( ( $true = vAPP(position,$o,wall,vAPP(direction,position,vAPP(position,sTfun(direction,position),next,vAPP(movelist,position,playerpos,X1)),X2)) )
| ( vAPP(movelist,position,playerpos,vAPP(direction,movelist,vAPP(movelist,sTfun(direction,movelist),movedir,X1),X2)) = vAPP(direction,position,vAPP(position,sTfun(direction,position),next,vAPP(movelist,position,playerpos,X1)),X2) ) ),
inference(equality_resolution,[],[f42]) ).
thf(f42,plain,
! [X2: direction,X0: position,X1: movelist] :
( ( vAPP(direction,position,vAPP(position,sTfun(direction,position),next,X0),X2) = vAPP(movelist,position,playerpos,vAPP(direction,movelist,vAPP(movelist,sTfun(direction,movelist),movedir,X1),X2)) )
| ( $true = vAPP(position,$o,wall,vAPP(direction,position,vAPP(position,sTfun(direction,position),next,X0),X2)) )
| ( vAPP(movelist,position,playerpos,X1) != X0 ) ),
inference(cnf_transformation,[],[f29]) ).
thf(f29,plain,
! [X0: position,X1: movelist,X2: direction] :
( ( vAPP(direction,position,vAPP(position,sTfun(direction,position),next,X0),X2) = vAPP(movelist,position,playerpos,vAPP(direction,movelist,vAPP(movelist,sTfun(direction,movelist),movedir,X1),X2)) )
| ( $true = vAPP(position,$o,wall,vAPP(direction,position,vAPP(position,sTfun(direction,position),next,X0),X2)) )
| ( vAPP(movelist,position,playerpos,X1) != X0 ) ),
inference(flattening,[],[f28]) ).
thf(f28,plain,
! [X0: position,X1: movelist,X2: direction] :
( ( vAPP(direction,position,vAPP(position,sTfun(direction,position),next,X0),X2) = vAPP(movelist,position,playerpos,vAPP(direction,movelist,vAPP(movelist,sTfun(direction,movelist),movedir,X1),X2)) )
| ( $true = vAPP(position,$o,wall,vAPP(direction,position,vAPP(position,sTfun(direction,position),next,X0),X2)) )
| ( vAPP(movelist,position,playerpos,X1) != X0 ) ),
inference(ennf_transformation,[],[f26]) ).
thf(f26,plain,
! [X0: position,X1: movelist,X2: direction] :
( ( vAPP(movelist,position,playerpos,X1) = X0 )
=> ( ( $true != vAPP(position,$o,wall,vAPP(direction,position,vAPP(position,sTfun(direction,position),next,X0),X2)) )
=> ( vAPP(direction,position,vAPP(position,sTfun(direction,position),next,X0),X2) = vAPP(movelist,position,playerpos,vAPP(direction,movelist,vAPP(movelist,sTfun(direction,movelist),movedir,X1),X2)) ) ) ),
inference(flattening,[],[f20]) ).
thf(f20,plain,
! [X0: position,X1: movelist,X2: direction] :
( ( vAPP(movelist,position,playerpos,X1) = X0 )
=> ( ( $true != vAPP(position,$o,wall,vAPP(direction,position,vAPP(position,sTfun(direction,position),next,X0),X2)) )
=> ( vAPP(direction,position,vAPP(position,sTfun(direction,position),next,X0),X2) = vAPP(movelist,position,playerpos,vAPP(direction,movelist,vAPP(movelist,sTfun(direction,movelist),movedir,X1),X2)) ) ) ),
inference(fool_elimination,[],[f19]) ).
thf(f19,plain,
! [X0: position,X1: movelist,X2: direction] :
( ( vAPP(movelist,position,playerpos,X1) = X0 )
=> ( ~ vAPP(position,$o,wall,vAPP(direction,position,vAPP(position,sTfun(direction,position),next,X0),X2))
=> ( vAPP(direction,position,vAPP(position,sTfun(direction,position),next,X0),X2) = vAPP(movelist,position,playerpos,vAPP(direction,movelist,vAPP(movelist,sTfun(direction,movelist),movedir,X1),X2)) ) ) ),
inference(rectify,[],[f4]) ).
thf(f4,axiom,
! [X3: position,X4: movelist,X5: direction] :
( ( vAPP(movelist,position,playerpos,X4) = X3 )
=> ( ~ vAPP(position,$o,wall,vAPP(direction,position,vAPP(position,sTfun(direction,position),next,X3),X5))
=> ( vAPP(direction,position,vAPP(position,sTfun(direction,position),next,X3),X5) = vAPP(movelist,position,playerpos,vAPP(direction,movelist,vAPP(movelist,sTfun(direction,movelist),movedir,X4),X5)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',player_move_legal) ).
thf(f267,plain,
! [X0: movelist,X1: direction] :
( ( c20 != vAPP(direction,position,vAPP(position,sTfun(direction,position),next,vAPP(movelist,position,playerpos,X0)),X1) )
| ( vAPP(movelist,position,playerpos,X0) = vAPP(movelist,position,playerpos,vAPP(direction,movelist,vAPP(movelist,sTfun(direction,movelist),movedir,X0),X1)) ) ),
inference(superposition,[],[f32,f132]) ).
thf(f132,plain,
! [X0: movelist,X1: direction] :
( ( vAPP(movelist,position,playerpos,vAPP(direction,movelist,vAPP(movelist,sTfun(direction,movelist),movedir,X0),X1)) = vAPP(direction,position,vAPP(position,sTfun(direction,position),next,vAPP(movelist,position,playerpos,X0)),X1) )
| ( vAPP(movelist,position,playerpos,X0) = vAPP(movelist,position,playerpos,vAPP(direction,movelist,vAPP(movelist,sTfun(direction,movelist),movedir,X0),X1)) ) ),
inference(trivial_inequality_removal,[],[f127]) ).
thf(f127,plain,
! [X0: movelist,X1: direction] :
( ( $true = $false )
| ( vAPP(movelist,position,playerpos,vAPP(direction,movelist,vAPP(movelist,sTfun(direction,movelist),movedir,X0),X1)) = vAPP(direction,position,vAPP(position,sTfun(direction,position),next,vAPP(movelist,position,playerpos,X0)),X1) )
| ( vAPP(movelist,position,playerpos,X0) = vAPP(movelist,position,playerpos,vAPP(direction,movelist,vAPP(movelist,sTfun(direction,movelist),movedir,X0),X1)) ) ),
inference(superposition,[],[f44,f83]) ).
thf(f83,plain,
! [X0: movelist,X1: direction] :
( ( $false = vAPP(position,$o,wall,vAPP(direction,position,vAPP(position,sTfun(direction,position),next,vAPP(movelist,position,playerpos,X0)),X1)) )
| ( vAPP(movelist,position,playerpos,X0) = vAPP(movelist,position,playerpos,vAPP(direction,movelist,vAPP(movelist,sTfun(direction,movelist),movedir,X0),X1)) ) ),
inference(trivial_inequality_removal,[],[f82]) ).
thf(f82,plain,
! [X0: movelist,X1: direction] :
( ( $true != $true )
| ( vAPP(movelist,position,playerpos,X0) = vAPP(movelist,position,playerpos,vAPP(direction,movelist,vAPP(movelist,sTfun(direction,movelist),movedir,X0),X1)) )
| ( $false = vAPP(position,$o,wall,vAPP(direction,position,vAPP(position,sTfun(direction,position),next,vAPP(movelist,position,playerpos,X0)),X1)) ) ),
inference(superposition,[],[f45,f15]) ).
thf(f15,plain,
! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) ),
introduced(fool_axiom,[]) ).
thf(f45,plain,
! [X2: direction,X1: movelist] :
( ( $true != vAPP(position,$o,wall,vAPP(direction,position,vAPP(position,sTfun(direction,position),next,vAPP(movelist,position,playerpos,X1)),X2)) )
| ( vAPP(movelist,position,playerpos,X1) = vAPP(movelist,position,playerpos,vAPP(direction,movelist,vAPP(movelist,sTfun(direction,movelist),movedir,X1),X2)) ) ),
inference(equality_resolution,[],[f43]) ).
thf(f43,plain,
! [X2: direction,X0: position,X1: movelist] :
( ( vAPP(movelist,position,playerpos,vAPP(direction,movelist,vAPP(movelist,sTfun(direction,movelist),movedir,X1),X2)) = X0 )
| ( $true != vAPP(position,$o,wall,vAPP(direction,position,vAPP(position,sTfun(direction,position),next,X0),X2)) )
| ( vAPP(movelist,position,playerpos,X1) != X0 ) ),
inference(cnf_transformation,[],[f31]) ).
thf(f31,plain,
! [X0: position,X1: movelist,X2: direction] :
( ( vAPP(movelist,position,playerpos,vAPP(direction,movelist,vAPP(movelist,sTfun(direction,movelist),movedir,X1),X2)) = X0 )
| ( $true != vAPP(position,$o,wall,vAPP(direction,position,vAPP(position,sTfun(direction,position),next,X0),X2)) )
| ( vAPP(movelist,position,playerpos,X1) != X0 ) ),
inference(flattening,[],[f30]) ).
thf(f30,plain,
! [X0: position,X1: movelist,X2: direction] :
( ( vAPP(movelist,position,playerpos,vAPP(direction,movelist,vAPP(movelist,sTfun(direction,movelist),movedir,X1),X2)) = X0 )
| ( $true != vAPP(position,$o,wall,vAPP(direction,position,vAPP(position,sTfun(direction,position),next,X0),X2)) )
| ( vAPP(movelist,position,playerpos,X1) != X0 ) ),
inference(ennf_transformation,[],[f22]) ).
thf(f22,plain,
! [X0: position,X1: movelist,X2: direction] :
( ( vAPP(movelist,position,playerpos,X1) = X0 )
=> ( ( $true = vAPP(position,$o,wall,vAPP(direction,position,vAPP(position,sTfun(direction,position),next,X0),X2)) )
=> ( vAPP(movelist,position,playerpos,vAPP(direction,movelist,vAPP(movelist,sTfun(direction,movelist),movedir,X1),X2)) = X0 ) ) ),
inference(fool_elimination,[],[f21]) ).
thf(f21,plain,
! [X0: position,X1: movelist,X2: direction] :
( ( vAPP(movelist,position,playerpos,X1) = X0 )
=> ( vAPP(position,$o,wall,vAPP(direction,position,vAPP(position,sTfun(direction,position),next,X0),X2))
=> ( vAPP(movelist,position,playerpos,vAPP(direction,movelist,vAPP(movelist,sTfun(direction,movelist),movedir,X1),X2)) = X0 ) ) ),
inference(rectify,[],[f5]) ).
thf(f5,axiom,
! [X3: position,X4: movelist,X5: direction] :
( ( vAPP(movelist,position,playerpos,X4) = X3 )
=> ( vAPP(position,$o,wall,vAPP(direction,position,vAPP(position,sTfun(direction,position),next,X3),X5))
=> ( vAPP(movelist,position,playerpos,vAPP(direction,movelist,vAPP(movelist,sTfun(direction,movelist),movedir,X4),X5)) = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',player_move_illegal) ).
thf(f32,plain,
! [X0: movelist] : ( c20 != vAPP(movelist,position,playerpos,X0) ),
inference(cnf_transformation,[],[f27]) ).
thf(f27,plain,
! [X0: movelist] : ( c20 != vAPP(movelist,position,playerpos,X0) ),
inference(ennf_transformation,[],[f23]) ).
thf(f23,plain,
~ ? [X0: movelist] : ( c20 = vAPP(movelist,position,playerpos,X0) ),
inference(rectify,[],[f13]) ).
thf(f13,negated_conjecture,
~ ? [X4: movelist] : ( vAPP(movelist,position,playerpos,X4) = c20 ),
inference(negated_conjecture,[],[f12]) ).
thf(f12,conjecture,
? [X4: movelist] : ( vAPP(movelist,position,playerpos,X4) = c20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exercise) ).
thf(f438,plain,
! [X0: direction] :
( ( vAPP(direction,position,vAPP(position,sTfun(direction,position),next,c10),X0) = vAPP(movelist,position,playerpos,vAPP(direction,movelist,vAPP(movelist,sTfun(direction,movelist),movedir,vAPP(direction,movelist,vAPP(movelist,sTfun(direction,movelist),movedir,vAPP(direction,movelist,vAPP(movelist,sTfun(direction,movelist),movedir,nomove),right)),right)),X0)) )
| ( $true = vAPP(position,$o,wall,vAPP(direction,position,vAPP(position,sTfun(direction,position),next,c10),X0)) ) ),
inference(superposition,[],[f44,f433]) ).
thf(f74,plain,
c00 != c20,
inference(superposition,[],[f32,f33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : PUZ141^1 : TPTP v8.1.2. Released v6.2.0.
% 0.02/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.33 % Computer : n017.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri May 3 18:05:07 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.34 % (7873)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.35 % (7876)WARNING: value z3 for option sas not known
% 0.18/0.35 % (7876)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.18/0.35 % (7878)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.18/0.35 % (7877)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.18/0.35 % (7875)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.18/0.35 % (7880)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.18/0.35 % (7879)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.18/0.35 % (7880)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.18/0.35 % Exception at run slice level% Exception at run slice level
% 0.18/0.35 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.18/0.35
% 0.18/0.35 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.18/0.36 % (7874)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.18/0.36 % Exception at run slice level
% 0.18/0.36 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.18/0.37 % (7882)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.18/0.37 % (7881)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.18/0.37 % (7882)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.18/0.37 % (7881)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.18/0.37 % Exception at run slice level
% 0.18/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.18/0.37 % (7883)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.18/0.39 % (7884)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 0.18/0.42 % (7879)First to succeed.
% 0.18/0.42 % (7879)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7873"
% 0.18/0.42 % (7879)Refutation found. Thanks to Tanya!
% 0.18/0.42 % SZS status Theorem for theBenchmark
% 0.18/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.42 % (7879)------------------------------
% 0.18/0.42 % (7879)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.18/0.42 % (7879)Termination reason: Refutation
% 0.18/0.42
% 0.18/0.42 % (7879)Memory used [KB]: 1326
% 0.18/0.42 % (7879)Time elapsed: 0.069 s
% 0.18/0.42 % (7879)Instructions burned: 158 (million)
% 0.18/0.42 % (7873)Success in time 0.083 s
%------------------------------------------------------------------------------